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arXiv · 1507.00904

Gravitational Dust Collapse in $f(R)$ Gravity

M. Farasat Shamir·Zahid Ahmad·Zahid Raza
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Abstract

This paper is devoted to investigate gravitational collapse of dust in metric $f(R)$ gravity. We take FRW metric for the interior region while the Schwarzchild spacetime is considered for the exterior region of a star. The junction conditions have been derived to match interior and exterior spacetimes. The assumption of constant scalar curvature is used to find a solution of field equations. Gravitational mass is found by using the junction conditions. It is concluded that the constant curvature term $f(R_0)$ plays the role of the cosmological constant involved in the field equations of general relativity.

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M. Farasat Shamir, Zahid Ahmad, Zahid Raza. 2015-07-01. Gravitational Dust Collapse in $f(R)$ Gravity. https://doi.org/10.1007/s10773-014-2342-z

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